Anmayı yüke koydun da You now see mentioning my name as a burden
Ağzını büke koydun And you purse your mouth (when hearing my name)
Aldın yari elimden de You took my darling away from me
Boynumu büke koydun And left me desperate

Astarda urganım varda I have rope in my lining
Yün basma yorganım var I have woolen quilt
O yar senin derlerse If they say, "he/she will be yours"
On koyun kurbanım var I vowed to sacrifice ten sheep
O yar benim derlerse If they say that he/she will be mine
On koyun kurbanım var I vowed to sacrifice ten sheep

@aspwow, He/she is talking to the cranes (a kind of bird specie) and tells them to go and visit his/her lover

@amnah

There was not this part on the video therefore I didn't translate it, here it is:

Ankara'nın bağları da The gardens of Ankara
Büklüm, büklüm yolları And its crooked roads
Ne zaman sarhoş oldun da When did you get so much drunk
Kaldıramıyon kolları That you cannot raise your arms (for dancing)

Hiç yara almadan aynadan geçemezsin... (I can provide translations in English, German, Spanish upon request, just add my name in your post and the language you want)